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The funnel boundary of multivalued dynamical systems

Part of: Systems theory and control: General

Published online by Cambridge University Press:  09 April 2009

P. E. Kloeden
P. E. Kloeden
Affiliation:
School of Mathematical and Physical SciencesMurdoch University, Murdoch WesternAustralia, 6153
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Abstract

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Properties of the funnel boundary are investigated for multivalued dynamical systems defined axiomatically in terms of attainability set mappings on complete, locally compact metric state spaces. The set of regular boundary events is shown to be dense in the funnel boundary and theorems of Fukuhara and Zaremba on peripheral attainability are generalized to the systems considered here.

MSC classification

Secondary: 93A05: Axiomatic system theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1979 , pp. 108 - 124
Copyright
Copyright © Australian Mathematical Society 1979

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